Warlock's Curse At-Will Minor Action Effect: Once per turn as a
minor action, you can place a Warlock’s Curse on the enemy nearest to
you that you can see. A cursed enemy is more vulnerable to your
attacks. If you hit a cursed enemy with an attack, you deal extra
damage. You decide whether to apply the extra damage after making the
damage roll. You can deal this extra damage only once per turn.
A Warlock’s Curse remains in effect until the end of the encounter or until the cursed enemy drops to 0 hit points or fewer.
You can place a Warlock’s Curse on multiple targets over the course of an encounter; each curse requires the use of a minor action.
You can’t place a Warlock’s Curse on a creature that is already
affected by your or another character’s Warlock’s Curse.
As you advance in level, your extra damage increases. Level Warlock’s Curse Extra Damage 1st–10th +1d6 11th–20th +2d6
21st–30th +3d6

The important part is the line I bolded.

This line is very confusing and can be read in 3 ways. 2 ways which allow you to use the warlock curse with Staggering Note, and 1 way which does not allow it.

Curse damage always applies, however if you roll damage dice, you can decide to not apply it.

Curse damage may or may not apply, when you roll damage dice, you decide if yes or no.

Curse damage applies at the point in the turn, when you would normally roll damage dice.

This is generally understood by the community to be unresolved and up to the DM.

Quoting @Brian Ballsun-Stanton who is quoting the Char Op Guides

Crown of Stars (D366) The initial hit and effect is already quite
spectacular, but it's the Sustain Minor that marks it as truly
excellent. Once per round as a minor action, you can subject any enemy
10 squares away from you to a Charisma vs. Will attack that, on a hit,
deals Radiant damage equal to your Charisma modifier.
Non-standard-action attacks are what Strikers love, and even if it
might not really allow you to add Curse dice to it (depending on how
you and your DM interpret the wording in the PHB1 entry for Warlock's
Curse in regards to how it interacts with damage that isn't a damage
roll), it doesn't matter. Enjoy your deathlaser!

Again, bolded the relevant line.

So, if you allow static damage to evoke the warlock curse, this hit does

CHA + CON + 2d6 + Implement + 3 damage

If however you do not allow the warlock curse to be used on static damage, then this hit does